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Caught by Disorder: Bound States in Random Media
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by
Peter Stollmann
Disorder is one of the central topics in science today. Over the past 15 years various aspects of the effects of disorder have changed a number of paradigms in mathematics and physics. One such effect is a phenomenon called localization, which describes the very strange behaviour of waves in random media. Instead of travelling through space as ...
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Acoustic Fields and Waves in Solids
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by
B A Auld
This work, part of a two-volume set, applies the material developed in the Volume One to various boundary value problems (reflection and refraction at plane surfaces, composite media, waveguides and resonators). The text also covers topics such as perturbation and variational methods.
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Linear and Nonlinear Waves
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by
Gerald Beresford Whitham
Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with ...
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Singularities and Oscillations
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by
Jeffrey Rauch (Editor), Michael Taylor (Editor)
The study of singularities and oscillations of waves has progressed along several fronts. A key common feature is the presence of a small scale in the solutions. Recent emphasis has been on nonlinear waves. Nonlinear problems are generally less amenable than linear problems to broad unified approaches. As a result there is a justifiable tendency ...
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Physics of waves
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by
William C. Elmore, Mark Aiken Heald
Ideal as a classroom text or for individual study, this unique one-volume overview of classical wave theory covers wave phenomena of acoustics, optics, electromagnetic radiations, and more.
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Waves in Fluids
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by
Sir M J Lighthill
A comprehensive textbook in which the author describes the science of waves in liquids and gases. Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, water waves of all kinds, and the so-called internal ...
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A Modern Introduction to the Mathematical Theory of Water Waves
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by
Robin Stanley Johnson, D G Crighton (Editor), M J Ablowitz (Editor)
The theory of water waves has been a source of intriguing and often difficult mathematical problems for at least 150 years. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical ...
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Bivectors and Waves in Mechanics and Optics
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by
Philippe Boulanger, M A Hayes
Bivectors occur naturally in the description of elliptically polarized homogeneous and inhomogeneous plane waves. Inhomogeneous plane waves are described in terms of two bivectors - the complex amplitude and the complex slowness. The use of bivectors and of their associated ellipses is essential for the presentation of the "directional ellipse" ...
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Mathematical Papers
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by
George Green, N M Ferrers (Editor)
Best known for Green's theorem, George Green (1793-1841) also published influential essays, or papers, in the fields of hydrodynamics, electricity, and magnetism. This collection comprises his most significant works, including "An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism," "Mathematical ...
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Wave Interactions and Fluid Flows
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by
Dr. Alex D D Craik
Wave Interactions and Fluid Flows is a coherent, up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena, both in fluids at rest and in shear flows. On the one hand, this includes water waves, internal waves, their evolution and interaction and associated wave-driven mean flows; on the other, phenomena of ...
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Fundamentals of Seismic Wave Propagation
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by
Christopher Chapman
Fundamentals of Seismic Wave Propagation presents a comprehensive introduction to the propagation of high-frequency body-waves in elastodynamics. The theory of seismic wave propagation in acoustic, elastic and anisotropic media is developed to allow seismic waves to be modelled in complex, realistic three-dimensional Earth models. This book ...
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Inverse Problems in Wave Propagation
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by
Guy Chavent
Inverse problems in wave propagation concern extraction of information about distant structural features from the measurements of scattered waves. Tasks of this nature arise in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic nondestructive testing, biomedical ultrasonics, radar, astrophysics, and other areas of science ...
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Electromagnetic and Optical Pulse Propagation 1: Spectral Representations in Temporally Dispersive Media
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by
Kurt Edmund Oughstun
"Electromagnetic and Optical Pulse Propagation" presents a detailed, systematic treatment of the time-domain electromagnetics with application to the propagation of transient electromagnetic fields (including ultra wideband signals and ultra short pulses) in homogeneous, isotropic media which exhibit both temporal frequency dispersion and ...
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Waves and Compressible Flow
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by
Hilary Ockendon, John R Ockendon
This books provides students and researchers with a basis for understanding the wide range of wave phenomena with which any mathematician may be confronted in applications. Compressible flow is the main focus of the book however the authors show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical ...
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Buoyancy effects in fluids
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by
J. S. Turner
The phenomena treated in this book all depend on the action of gravity on small density differences in a non-rotating fluid. The author gives a connected account of the various motions which can be driven or influenced by buoyancy forces in a stratified fluid, including internal waves, turbulent shear flows and buoyant convection. This excellent ...
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Effective Computational Methods for Wave Propagation
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by
Kampanis A Kampanis, Nikolaos A Kampanis (Editor), John A Ekaterinaris (Editor)
Due to the increase of computational power and new discoveries on propagation phenomena, the field of computational wave propagation has acquired added significance in recent years. "Effective Computational Methods for Wave Propagation" reviews recent developments in the area. Featuring contributions from internationally known experts, this book ...
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Stability and Wave Motion in Porous Media
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by
Brian Straughan
This book describes several tractable theories for fluid flow in porous media. The important mathematical equations about structural stability and spatial decay are address. Thermal convection and stability of other flows in porous media are covered. A chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer. ...
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Nonlinear Waves in Dispersive and Dissipative Systems with Coupled Fields
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by
Sergei Korsunsky
This monograph investigates a wide range of problems where nonlinear wave phenomena play a crucial role, for instance in nonlinear acoustics, fluid dynamics, plasma physics and magnetohydrodynamics. The aim of the book is to deliver a general approach to the investigation of complicated mechanical systems affected by the action of different ...
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Linear Water Waves: A Mathematical Approach
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by
N Kuznetsov, V Maz'ya, B Vainberg
This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description ...
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Introduction to Wave Propagation in Nonlinear Fluids and Solids
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by
D S Drumheller
Waves occur widely in nature and have innumerable commercial uses. Pressure waves are responsible for the transmission of speech, bow waves created by meteors can virtually ignite the earth's atmosphere, ultrasonic waves are used for medical imaging, and shock waves are used for the synthesis of new materials. This book provides a thorough, modern ...
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Waves: Energy on the Move
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by
Darlene R Stille
Clear text explains scientific principles while discussing the social and historical significance of each subject. Using the most up-to-date research, these books show scientists at work in their fields and answer the questions posed by every curious science student: Why does this matter to me?
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Numerical Methods for Wave Propagation
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by
E F Toro (Editor), J F Clarke (Editor)
This volume is an attempt to bring together various and diverse scientific areas of research that have the common theme of wave propagation phenomena. There are few branches of science and engineering in which wave propagation phenomena do not have a part to play. Example areas of basic research and technological applications are shock waves in ...
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Wave Motion: Theory, Modelling, and Computation: Proceedings of a Conference in Honor of the 60th Birthday of Peter D. Lax
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by
Peter D Lax
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Wave Propagation, Observation and Control in 1-D Flexible Multi-Structures
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by
Reni Dager, Enrique Zuazua, Rene Dager
This volume presents a detailed study of partial differential equations on planar graphs modeling networked flexible mechanical structures. Special emphasis is laid on the understanding of wave propagation phenomena, through the analysis of the problems of observability and controllability from small regions of the graph or its boundary. Some of ...
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Seismic Wave Propagation and Scattering in the Heterogenous Earth
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by
Haruo Sato, Michael C Fehler
Seismic waves - generated both by natural earthquakes and by man-made sources - have produced an enormous amount of information about the Earth's interior. In classical seismology, the Earth is modeled as a sequence of uniform horizontal layers (or special shells) having different elastic properties and one determines these properties from travel ...
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